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Finding the Fourth Proportional to 314,635.94, 471,637.90 and 101,247.03

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Solution

The fourth proportional to 314,635.94, 471,637.90 and 101,247.03 is: 151,768.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,635.94 : 471,637.90 = 101,247.03 : x
  2. Step 2: Convert to fraction form
    314,635.94/471,637.90 = 101,247.03/x
  3. Step 3: Cross multiply
    314,635.94x = 471,637.90 × 101,247.03
  4. Step 4: Simplify right side
    314,635.94x = 47,751,936,167.48
  5. Step 5: Solve for x
    x = 47,751,936,167.48/314,635.94
  6. Step 6: Final answer
    x = 151,768.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.